直角三角形問題

2007-10-29 4:43 pm
x^2+y^2=19^2

x:y=9:5

請問x和y是多少?

回答 (1)

2007-10-29 5:37 pm
✔ 最佳答案
x^2 + y^2 = 19^2 --- (1)
x:y=9:5
x = 9y / 5 --- (2)
Substitute (2) into (1)
(9y / 5)^2 + y^2 = 361
81y^2 + 25y^2 = 9025
106y^2 = 9025
y^2 = 9025 / 106
y = 95 / sqrt(106) = 9.2272
x = 171 / sqrt(106) = 16.609
希望解答到你 ^^
參考: Myself


收錄日期: 2021-04-13 14:14:26
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